4199253408 has 384 divisors, whose sum is σ = 14597130240. Its totient is φ = 1149603840.

The previous prime is 4199253391. The next prime is 4199253427. The reversal of 4199253408 is 8043529914.

4199253408 is a `hidden beast` number, since 4 + 199 + 2 + 53 + 408 = 666.

It is a super-2 number, since 2×4199253408² = 35267458369199228928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17424168 + ... + 17424408.

It is an arithmetic number, because the mean of its divisors is an integer number (38013360).

Almost surely, 2^4199253408 is an apocalyptic number.

4199253408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298565120).

4199253408 is an abundant number, since it is smaller than the sum of its proper divisors (10397876832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4199253408 is a wasteful number, since it uses less digits than its factorization.

4199253408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4199253408 is about 64801.6466457450. The cubic root of 4199253408 is about 1613.3330393339. Note that the first 3 decimals are identical.

The spelling of 4199253408 in words is "four billion, one hundred ninety-nine million, two hundred fifty-three thousand, four hundred eight".